Investigation of three-pulse photon echo in thick crystal using finite-difference time-domain method

doi:10.1088/1674-1056/26/4/044201

Abstract This paper investigates the phenomenon of three-pulse photon echo in thick rare-earth ions doped crystal whose thickness is far larger than 0.002 cm which is adopted in previous works. The influence of thickness on the three-pulse photon echo's amplitude and efficiency is analyzed with the Maxwell-Bloch equations solved by finite-difference time-domain method. We demonstrate that the amplitude of three-pulse echo will increase with the increasing of thickness and the optimum thickness to generate three-pulse photon echo is 0.3 cm for Tm³⁺:YAG when the attenuation of the input pulse is taken into account. Meanwhile, we find the expression 0.09exp(α'L), which is previously employed to describe the relationship between echo's efficiency and thickness, should be modified as 1.3·0.09exp(2.4·α'L ight) with the propagation of echo considered.

Keywords: three-pulse photon echo Maxwell-Bloch equations finite-difference time-domain method

Received: 20 October 2016
Revised: 01 December 2016
Accepted manuscript online:

PACS:	42.50.Md	(Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency)
	03.65.Sq	(Semiclassical theories and applications)
	14.70.Bh	(Photons)

Fund: Project supported by Tianjin Research Program Application Foundation and Advanced Technology, China (Grant No. 15JCQNJC01100).

Corresponding Authors: Lin Xu
E-mail: xulin_tjut@139.com

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Xiu-Rong Ma(马秀荣), Lin Xu(徐林), Shi-Yuan Chang(常世元), Shuang-Gen Zhang(张双根) Investigation of three-pulse photon echo in thick crystal using finite-difference time-domain method 2017 Chin. Phys. B 26 044201

[1]	Bonarota M, Ruggiero J, Gouët J L L and Chaneliére T 2010 Phys. Rev. A 81 76
[2]	Chaneliére T, Ruggiero J, Bonarota M, Afzelius M and Gouët J L L 2009 New J. Phys. 12 802
[3]	Damon V, Crozatier V, Chaneliére T, Jean-Louis Le Gouet and Ivan Lorgere 2010 J. Opt. Soc. Am. B 27 524
[4]	Barber Z, Tian M, Reibel Rand Babbitt W R 2002 Opt. Express 10 1145
[5]	Ma X R, Wang S, Zhang S G, Zhang S Y and Liang Y Q 2015 IEEE Commun. Lett. 19 179
[6]	Ma X R, Wang S, Liang Y Q and Shan Y L 2015 Appl. Opt. 54 2891
[7]	Sangouard N, Simon C 2010 Phys. Rev. A 81 062333
[8]	Ma X R, Liang Y Q, Wang S, Zhang S G and Shan Y L 2016 Chin. Phys. B 25 070302
[9]	Ziolkowski R W, Arnold J M and Gogny D M 1995 Phys. Rev. A 52 3082
[10]	Schlottau F, Piket-May M and Wagner K 2005 Opt. Express 13 182
[11]	Tiranov A D, Karimullin K R and Samartsev V V 2012 Bull. Russ. Acad. Sci. Phys. 76 299
[12]	Ma X R, Zhang S Y and Zhang S G 2014 Chin. Phys. B 23 060304
[13]	Brewer R G and Shoemaker R L 1971 Phys. Rev. Lett. 27 631
[14]	Pierre Meystre and Murray Sargent III 2007 Elements of Quantum Optics, 4th edn. (Springer Press) pp. 6-7
[15]	McCall S L and Hahn E L 1969 Phys. Rev. 183 457
[16]	Alekseyev A I and Basharov A M 1981 Opt. Commun. 36 291
[17]	Endo T, Nakanishi S, Muramoto T and Hashi T 1981 Opt. Commun. 37 369

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Investigation of three-pulse photon echo in thick crystal using finite-difference time-domain method

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